Question

If m EAB = 195 degrees and m EC = 75 degrees what is the measure of angle EDC

Answer 1

The measure of angle EDC is
`60\°`

Explanation:

we know that

The measurement of the external angle is the semi-difference of the arcs which comprises

so

`m<EDC=(1)/(2)(arc\ EAB-arc\ EC )`

substitute the values

`m<EDC=(1)/(2)(195\°-75\°)=60\°`